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Finding the Fourth Proportional to 522.48, 783.81 and 305.82

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Solution

The fourth proportional to 522.48, 783.81 and 305.82 is: 458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.48 : 783.81 = 305.82 : x
  2. Step 2: Convert to fraction form
    522.48/783.81 = 305.82/x
  3. Step 3: Cross multiply
    522.48x = 783.81 × 305.82
  4. Step 4: Simplify right side
    522.48x = 239,704.77
  5. Step 5: Solve for x
    x = 239,704.77/522.48
  6. Step 6: Final answer
    x = 458.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.